Answer:
the length of the shortest ladder is 11.41 feet
Step-by-step explanation:
The computation of the length of the shortest ladder is shown below:
AB^2 = AC^2 + BC^2
AB^2= (10)^2 + (5.5)^2
AB^2= 100 + 30.25
AB^2 = 130.25
AB = 11.41 feet
hence, the length of the shortest ladder is 11.41 feet
Answer:
y =
x + 
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ ) = (- 2, 1) and (x₂, y₂ ) = (4, 6)
m =
=
, thus
y =
x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (4, 6 ), then
6 =
+ c ⇒ c = 6 -
=
= 
y =
x +
← equation of line
Replace x with -1.
G(-1) = -5(-1) + 2
= 5 + 2
= 7
I hope this Helps!
Answer:
See explaination
Step-by-step explanation:
To convert a second-order differential equation into a system of linear differential equation, we have to write y'' as x', for some variable x.
please kindly see attachment for the step by step solution of the given problem.
The given equality hold true when x = 2.
Put x = 2 in inequality.
2(2) + 3 = 4+3 = 7 = R.H.S.
For x = 4 and 6, L.H.S(2x+3) is greater than 7.
Hence for x = 2, 4 and 6, the above inequality holds true.
Hope this helps!